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Introduction to Modern Cryptography by Jonathan Katz, Yehuda Lindell (Hardcover, 2020)

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The authors present the core principles of modern cryptography, with emphasis on formal definitions, rigorous proofs of security. The organization is quite natural, and aligns well with my course. I actually find Chapter 1 (Introduction) among the strongest aspects of this book.

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Now the most used texbook for introductory cryptography courses in both mathematics and computer science, the Third Edition builds upon previous editions by offering several new sections, topics, and exercises. The authors present the core principles of modern cryptography, with emphasis on formal definitions, rigorous proofs of security.